420113018880 has 728 divisors, whose sum is σ = 1592159371920. Its totient is φ = 106062151680.

The previous prime is 420113018839. The next prime is 420113018917. The reversal of 420113018880 is 88810311024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283667740 + ... + 283669220.

Almost surely, 2^420113018880 is an apocalyptic number.

420113018880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420113018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796079685960).

420113018880 is an abundant number, since it is smaller than the sum of its proper divisors (1172046353040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420113018880 is an equidigital number, since it uses as much as digits as its factorization.

420113018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 420113018880 in words is "four hundred twenty billion, one hundred thirteen million, eighteen thousand, eight hundred eighty".